What is the Least Common Multiple of 74428 and 74445?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 74428 and 74445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74428 and 74445, than apply into the LCM equation.

GCF(74428,74445) = 1
LCM(74428,74445) = ( 74428 × 74445) / 1
LCM(74428,74445) = 5540792460 / 1
LCM(74428,74445) = 5540792460

Least Common Multiple (LCM) of 74428 and 74445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74428 and 74445. First we will calculate the prime factors of 74428 and 74445.

Prime Factorization of 74428

Prime Factorization of 74445

Now multiplying the highest exponent prime factors to calculate the LCM of 74428 and 74445.

LCM(74428,74445) = 2² × 23¹ × 809¹ × 3¹ × 5¹ × 7¹ × 709¹
LCM(74428,74445) = 5540792460